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For the system described by \[\mathop {\rm{X}}\limits^ \cdot \] = AX match List-I with List-II and select the correct answer.
| List-I (Matrix A) |
List-II (Position of eigen values) |
| a. \[\left[ {\begin{array}{*{20}{c}}
{ - 1}&2\\
0&{ - 2}
\end{array}} \right]\] |
1. One eigen value at the origin |
| b. \[\left[ {\begin{array}{*{20}{c}}
{ - 1}&{ - 2}\\
{ - 2}&{ - 4}
\end{array}} \right]\] |
2. Both the eigen value in the LHP |
| c. \[\left[ {\begin{array}{*{20}{c}}
0&{ - 1}\\
1&0
\end{array}} \right]\] |
3. Both the eigen values in RHP |
| d. \[\left[ {\begin{array}{*{20}{c}}
1&0\\
2&4
\end{array}} \right]\] |
4. Both the eigen values on the imaginary axis |
Answer & Solution
Correct Answer:
Option
B
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